Quantum correction to the entropy of noncommutative BTZ black hole

  • M. A. Anacleto
  • F. A. Brito
  • A. G. Cavalcanti
  • E. Passos
  • J. Spinelly
Research Article
  • 34 Downloads

Abstract

In this paper we consider the generalized uncertainty principle (GUP) in the tunneling formalism via Hamilton–Jacobi method to determine the quantum-corrected Hawking temperature and entropy for noncommutative BTZ black hole. In our results we obtain several types of corrections including the expected logarithmic correction to the area entropy associated with the noncommutative BTZ black holes. We also show that the area entropy product of the noncommutative BTZ black holes is dependent on mass and by analyzing the nature of the specific heat capacity we have observed that the noncommutative BTZ black hole is stable at some range of parameters.

Keywords

Black hole entropy Noncommutative BTZ black holes Hamilton–Jacobi method Generalized uncertainty principle (GUP) 

Notes

Acknowledgements

We would like to thank CAPES and CNPq for financial support.

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Authors and Affiliations

  • M. A. Anacleto
    • 1
  • F. A. Brito
    • 1
    • 2
  • A. G. Cavalcanti
    • 1
  • E. Passos
    • 1
  • J. Spinelly
    • 3
  1. 1.Departamento de FísicaUniversidade Federal de Campina GrandeCampina GrandeBrazil
  2. 2.Departamento de FísicaUniversidade Federal da ParaíbaJoão PessoaBrazil
  3. 3.Departamento de Física-CCTUniversidade Estadual da ParaíbaCampina GrandeBrazil

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